Phonon-induced localization of electron states in quasi-one-dimensional systems

It is shown that hot phonons with random phases can cause localization of electron states in quasi-one-dimensional systems. Owing to the nature of long-range correlation of the disorder induced by phonons, only the states at edges of one-dimensional (1D) subbands are localized, and the states inside the 1D subbands are still extended. As a result, the conductance exhibits gradual quantum steps in varying the gate potential. By increasing the temperature the degree of localization increases. In the localization regime the distribution of Lyapunov exponent (LE) is Gaussian and the relation of the mean-value and standard variance of LE to the system size obeys the single-parameter hypothesis. The mean value of LE can be used as an order parameter to distinguish the local and extended states.